Some points in a circle with 0 and 1 write on them
Source: Mayo Olympiad 2011
October 13, 2020
combinatorics
Problem Statement
Given points in a circle, Arnaldo write 0 or 1 in all the points. Bernado can do a operation, he can chosse some point and change its number and the numbers of the points on the right and left side of it. Arnaldo wins if Bernado can´t change all the numbers in the circle to 0, and Bernado wins if he cana) Show that Bernado can win if
b) Show that Arnaldo wins if